145891780666632 has 1152 divisors, whose sum is σ = 565159983897600. Its totient is φ = 32991289943040.

The previous prime is 145891780666603. The next prime is 145891780666657. The reversal of 145891780666632 is 236666087198541.

It is a super-2 number, since 2×145891780666632² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3419290563 + ... + 3419333229.

It is an arithmetic number, because the mean of its divisors is an integer number (490590263800).

It is a 1-persistent number, because it is pandigital, but 2⋅145891780666632 = 291783561333264 is not.

Almost surely, 2^{145891780666632} is an apocalyptic number.

145891780666632 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 145891780666632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282579991948800).

145891780666632 is an abundant number, since it is smaller than the sum of its proper divisors (419268203230968).

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

145891780666632 is a wasteful number, since it uses less digits than its factorization.

145891780666632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42967 (or 42949 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 145891780666632 in words is "one hundred forty-five trillion, eight hundred ninety-one billion, seven hundred eighty million, six hundred sixty-six thousand, six hundred thirty-two".