189464006362752 has 384 divisors, whose sum is σ = 596355727968000. Its totient is φ = 57260113920000.

The previous prime is 189464006362721. The next prime is 189464006362753. The reversal of 189464006362752 is 257263600464981.

189464006362752 is a `hidden beast` number, since 1 + 8 + 9 + 46 + 400 + 63 + 62 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×189464006362752² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 189464006362752.

It is not an unprimeable number, because it can be changed into a prime (189464006362753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7318307824 + ... + 7318333712.

It is an arithmetic number, because the mean of its divisors is an integer number (1553009708250).

It is a 1-persistent number, because it is pandigital, but 2⋅189464006362752 = 378928012725504 is not.

Almost surely, 2^{189464006362752} is an apocalyptic number.

189464006362752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189464006362752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298177863984000).

189464006362752 is an abundant number, since it is smaller than the sum of its proper divisors (406891721605248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

189464006362752 is a wasteful number, since it uses less digits than its factorization.

189464006362752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27440 (or 27425 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 189464006362752 in words is "one hundred eighty-nine trillion, four hundred sixty-four billion, six million, three hundred sixty-two thousand, seven hundred fifty-two".