161693952000 has 768 divisors, whose sum is σ = 647610163200. Its totient is φ = 34991308800.

The previous prime is 161693951971. The next prime is 161693952001. The reversal of 161693952000 is 259396161.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×161693952000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (161693952001) 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, 102143209 + ... + 102144791.

It is an arithmetic number, because the mean of its divisors is an integer number (843242400).

Almost surely, 2^161693952000 is an apocalyptic number.

161693952000 is a gapful number since it is divisible by the number (10) 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 161693952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323805081600).

161693952000 is an abundant number, since it is smaller than the sum of its proper divisors (485916211200).

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

161693952000 is a wasteful number, since it uses less digits than its factorization.

161693952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The spelling of 161693952000 in words is "one hundred sixty-one billion, six hundred ninety-three million, nine hundred fifty-two thousand".