146693956304896 has 960 divisors, whose sum is σ = 407188885118400. Its totient is φ = 51939240837120.

The previous prime is 146693956304839. The next prime is 146693956304921. The reversal of 146693956304896 is 698403659396641.

It is a super-2 number, since 2×146693956304896² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268179078895 + ... + 268179079441.

It is an arithmetic number, because the mean of its divisors is an integer number (424155088665).

Almost surely, 2^{146693956304896} is an apocalyptic number.

146693956304896 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 146693956304896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203594442559200).

146693956304896 is an abundant number, since it is smaller than the sum of its proper divisors (260494928813504).

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

146693956304896 is an frugal number, since it uses more digits than its factorization.

146693956304896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 5441955840, while the sum is 79.

The spelling of 146693956304896 in words is "one hundred forty-six trillion, six hundred ninety-three billion, nine hundred fifty-six million, three hundred four thousand, eight hundred ninety-six".