145621963008 has 432 divisors, whose sum is σ = 468462234240. Its totient is φ = 43268898816.

The previous prime is 145621962949. The next prime is 145621963009. The reversal of 145621963008 is 800369126541.

145621963008 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 2 + 1 + 9 + 630 + 0 + 8 = 666.

It is a super-2 number, since 2×145621963008² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145621963009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98193435 + ... + 98194917.

It is an arithmetic number, because the mean of its divisors is an integer number (1084403320).

Almost surely, 2^145621963008 is an apocalyptic number.

145621963008 is a gapful number since it is divisible by the number (18) 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 145621963008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234231117120).

145621963008 is an abundant number, since it is smaller than the sum of its proper divisors (322840271232).

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

145621963008 is a wasteful number, since it uses less digits than its factorization.

145621963008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 145621963008 in words is "one hundred forty-five billion, six hundred twenty-one million, nine hundred sixty-three thousand, eight".