146881407647296 has 315 divisors, whose sum is σ = 348601835501691. Its totient is φ = 61399725472512.

The previous prime is 146881407647281. The next prime is 146881407647321. The reversal of 146881407647296 is 692746704188641.

It is a happy number.

The square root of 146881407647296 is 12119464.

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

It is a super-2 number, since 2×146881407647296² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 204285684825 + ... + 204285685543.

Almost surely, 2^{146881407647296} is an apocalyptic number.

146881407647296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

146881407647296 is the 12119464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146881407647296

146881407647296 is an abundant number, since it is smaller than the sum of its proper divisors (201720427854395).

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

146881407647296 is an frugal number, since it uses more digits than its factorization.

146881407647296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 73.

The spelling of 146881407647296 in words is "one hundred forty-six trillion, eight hundred eighty-one billion, four hundred seven million, six hundred forty-seven thousand, two hundred ninety-six".