1464879390156 has 384 divisors, whose sum is σ = 4833851473920. Its totient is φ = 373196678400.

The previous prime is 1464879390137. The next prime is 1464879390193. The reversal of 1464879390156 is 6510939784641.

1464879390156 is a `hidden beast` number, since 1 + 464 + 8 + 79 + 3 + 90 + 15 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1464879390093 and 1464879390102.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 178836021 + ... + 178844211.

It is an arithmetic number, because the mean of its divisors is an integer number (12588154880).

Almost surely, 2^{1464879390156} 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 1464879390156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416925736960).

1464879390156 is an abundant number, since it is smaller than the sum of its proper divisors (3368972083764).

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

1464879390156 is a wasteful number, since it uses less digits than its factorization.

1464879390156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8842 (or 8834 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 1464879390156 in words is "one trillion, four hundred sixty-four billion, eight hundred seventy-nine million, three hundred ninety thousand, one hundred fifty-six".