145977008998968 has 288 divisors, whose sum is σ = 480022486688160. Its totient is φ = 39883972423680.

The previous prime is 145977008998937. The next prime is 145977008998973. The reversal of 145977008998968 is 869899800779541.

145977008998968 is a `hidden beast` number, since 1 + 4 + 597 + 7 + 0 + 0 + 8 + 9 + 9 + 8 + 9 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 314688096 + ... + 315151632.

It is an arithmetic number, because the mean of its divisors is an integer number (1666744745445).

Almost surely, 2^{145977008998968} is an apocalyptic number.

145977008998968 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 145977008998968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240011243344080).

145977008998968 is an abundant number, since it is smaller than the sum of its proper divisors (334045477689192).

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

145977008998968 is a wasteful number, since it uses less digits than its factorization.

145977008998968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467467 (or 467453 counting only the distinct ones).

The product of its (nonzero) digits is 19752284160, while the sum is 90.

The spelling of 145977008998968 in words is "one hundred forty-five trillion, nine hundred seventy-seven billion, eight million, nine hundred ninety-eight thousand, nine hundred sixty-eight".