189386537902848 has 2592 divisors, whose sum is σ = 698474780640000. Its totient is φ = 50671192965120.

The previous prime is 189386537902843. The next prime is 189386537902879. The reversal of 189386537902848 is 848209735683981.

189386537902848 is a `hidden beast` number, since 1 + 8 + 9 + 38 + 6 + 537 + 9 + 0 + 2 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×189386537902848² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (189386537902843) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 499700627523 + ... + 499700627901.

It is an arithmetic number, because the mean of its divisors is an integer number (269473295000).

It is a 1-persistent number, because it is pandigital, but 2⋅189386537902848 = 378773075805696 is not.

Almost surely, 2^{189386537902848} is an apocalyptic number.

189386537902848 is a gapful number since it is divisible by the number (18) 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 189386537902848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349237390320000).

189386537902848 is an abundant number, since it is smaller than the sum of its proper divisors (509088242737152).

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

189386537902848 is a wasteful number, since it uses less digits than its factorization.

189386537902848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 5016453120, while the sum is 81.

The spelling of 189386537902848 in words is "one hundred eighty-nine trillion, three hundred eighty-six billion, five hundred thirty-seven million, nine hundred two thousand, eight hundred forty-eight".