164451751632 has 320 divisors, whose sum is σ = 555271127040. Its totient is φ = 45615757824.

The previous prime is 164451751621. The next prime is 164451751637. The reversal of 164451751632 is 236157154461.

It is a happy number.

164451751632 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 5 + 1 + 7 + 5 + 1 + 632 = 666.

It is a super-2 number, since 2×164451751632² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164451751637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61201393 + ... + 61204079.

It is an arithmetic number, because the mean of its divisors is an integer number (1735222272).

Almost surely, 2^164451751632 is an apocalyptic number.

164451751632 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 164451751632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277635563520).

164451751632 is an abundant number, since it is smaller than the sum of its proper divisors (390819375408).

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

164451751632 is a wasteful number, since it uses less digits than its factorization.

164451751632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295 (or 3283 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 164451751632 in words is "one hundred sixty-four billion, four hundred fifty-one million, seven hundred fifty-one thousand, six hundred thirty-two".