146921956416 has 63 divisors (see below), whose sum is σ = 421151630263. Its totient is φ = 48970919040.

The previous prime is 146921956361. The next prime is 146921956417. The reversal of 146921956416 is 614659129641.

The square root of 146921956416 is 383304.

It is a perfect power (a square), and thus also a powerful number.

146921956416 is a `hidden beast` number, since 1 + 4 + 6 + 9 + 219 + 5 + 6 + 416 = 666.

It is a super-2 number, since 2×146921956416² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146921956417) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9191311 + ... + 9207281.

Almost surely, 2^146921956416 is an apocalyptic number.

146921956416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

146921956416 is the 383304-th square number.

It is an amenable number.

146921956416 is an abundant number, since it is smaller than the sum of its proper divisors (274229673847).

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

146921956416 is an frugal number, since it uses more digits than its factorization.

146921956416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31960 (or 15976 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 146921956416 in words is "one hundred forty-six billion, nine hundred twenty-one million, nine hundred fifty-six thousand, four hundred sixteen".