146311249224960 has 288 divisors, whose sum is σ = 522387031447680. Its totient is φ = 38776967626752.

The previous prime is 146311249224941. The next prime is 146311249224989. The reversal of 146311249224960 is 69422942113641.

146311249224960 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 1 + 124 + 9 + 22 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 146311249224897 and 146311249224906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7353049 + ... + 18619608.

Almost surely, 2^{146311249224960} is an apocalyptic number.

146311249224960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146311249224960 is an abundant number, since it is smaller than the sum of its proper divisors (376075782222720).

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

146311249224960 is a wasteful number, since it uses less digits than its factorization.

146311249224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25972850 (or 25972830 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 146311249224960 in words is "one hundred forty-six trillion, three hundred eleven billion, two hundred forty-nine million, two hundred twenty-four thousand, nine hundred sixty".