161774887142400 has 1056 divisors, whose sum is σ = 616945808179200. Its totient is φ = 36622213447680.

The previous prime is 161774887142389. The next prime is 161774887142411. The reversal of 161774887142400 is 4241788477161.

It is an interprime number because it is at equal distance from previous prime (161774887142389) and next prime (161774887142411).

It is a super-2 number, since 2×161774887142400² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29397578049 + ... + 29397583551.

Almost surely, 2^{161774887142400} is an apocalyptic number.

161774887142400 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 161774887142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308472904089600).

161774887142400 is an abundant number, since it is smaller than the sum of its proper divisors (455170921036800).

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

161774887142400 is a wasteful number, since it uses less digits than its factorization.

161774887142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6059 (or 6036 counting only the distinct ones).

The product of its (nonzero) digits is 16859136, while the sum is 60.

The spelling of 161774887142400 in words is "one hundred sixty-one trillion, seven hundred seventy-four billion, eight hundred eighty-seven million, one hundred forty-two thousand, four hundred".