161899347456 has 800 divisors, whose sum is σ = 608893528320. Its totient is φ = 41951416320.

The previous prime is 161899347431. The next prime is 161899347487. The reversal of 161899347456 is 654743998161.

161899347456 is a `hidden beast` number, since 1 + 61 + 8 + 99 + 34 + 7 + 456 = 666.

It is a super-2 number, since 2×161899347456² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 161899347393 and 161899347402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 386394415 + ... + 386394833.

Almost surely, 2^161899347456 is an apocalyptic number.

161899347456 is a gapful number since it is divisible by the number (16) 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 161899347456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304446764160).

161899347456 is an abundant number, since it is smaller than the sum of its proper divisors (446994180864).

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

161899347456 is an frugal number, since it uses more digits than its factorization.

161899347456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 442 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 161899347456 in words is "one hundred sixty-one billion, eight hundred ninety-nine million, three hundred forty-seven thousand, four hundred fifty-six".