161202177864 has 512 divisors, whose sum is σ = 563912294400. Its totient is φ = 42059264256.

The previous prime is 161202177853. The next prime is 161202177883. The reversal of 161202177864 is 468771202161.

161202177864 is a `hidden beast` number, since 1 + 612 + 0 + 21 + 7 + 7 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×161202177864² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 163989517 + ... + 163990499.

It is an arithmetic number, because the mean of its divisors is an integer number (1101391200).

Almost surely, 2^161202177864 is an apocalyptic number.

161202177864 is a gapful number since it is divisible by the number (14) 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 161202177864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281956147200).

161202177864 is an abundant number, since it is smaller than the sum of its proper divisors (402710116536).

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

161202177864 is a wasteful number, since it uses less digits than its factorization.

161202177864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 161202177864 in words is "one hundred sixty-one billion, two hundred two million, one hundred seventy-seven thousand, eight hundred sixty-four".