146800621968 has 640 divisors, whose sum is σ = 549468831744. Its totient is φ = 32491929600.

The previous prime is 146800621963. The next prime is 146800621969. The reversal of 146800621968 is 869126008641.

It is a super-2 number, since 2×146800621968² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 146800621968.

It is not an unprimeable number, because it can be changed into a prime (146800621963) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43289553 + ... + 43292943.

Almost surely, 2^146800621968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146800621968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274734415872).

146800621968 is an abundant number, since it is smaller than the sum of its proper divisors (402668209776).

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

146800621968 is a wasteful number, since it uses less digits than its factorization.

146800621968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 146800621968 in words is "one hundred forty-six billion, eight hundred million, six hundred twenty-one thousand, nine hundred sixty-eight".