161574369840 has 480 divisors, whose sum is σ = 608125631040. Its totient is φ = 39410122752.

The previous prime is 161574369833. The next prime is 161574369851. The reversal of 161574369840 is 48963475161.

161574369840 is a `hidden beast` number, since 1 + 6 + 1 + 574 + 3 + 69 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×161574369840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 41247562 + ... + 41251478.

It is an arithmetic number, because the mean of its divisors is an integer number (1266928398).

Almost surely, 2^161574369840 is an apocalyptic number.

161574369840 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 161574369840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304062815520).

161574369840 is an abundant number, since it is smaller than the sum of its proper divisors (446551261200).

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

161574369840 is a wasteful number, since it uses less digits than its factorization.

161574369840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4078 (or 4053 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 161574369840 in words is "one hundred sixty-one billion, five hundred seventy-four million, three hundred sixty-nine thousand, eight hundred forty".