161101923840 has 960 divisors, whose sum is σ = 680135968512. Its totient is φ = 36030873600.

The previous prime is 161101923821. The next prime is 161101923859. The reversal of 161101923840 is 48329101161.

161101923840 is a `hidden beast` number, since 1 + 611 + 0 + 1 + 9 + 2 + 38 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (161101923821) and next prime (161101923859).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 161101923795 and 161101923804.

It is a congruent number.

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, 88956535 + ... + 88958345.

Almost surely, 2^161101923840 is an apocalyptic number.

161101923840 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 161101923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340067984256).

161101923840 is an abundant number, since it is smaller than the sum of its proper divisors (519034044672).

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

161101923840 is a wasteful number, since it uses less digits than its factorization.

161101923840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 161101923840 in words is "one hundred sixty-one billion, one hundred one million, nine hundred twenty-three thousand, eight hundred forty".