120144363264 has 432 divisors, whose sum is σ = 378305351424. Its totient is φ = 37955174400.

The previous prime is 120144363259. The next prime is 120144363277. The reversal of 120144363264 is 462363441021.

120144363264 is a `hidden beast` number, since 1 + 2 + 0 + 14 + 4 + 3 + 632 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×120144363264² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187432384 + ... + 187433024.

It is an arithmetic number, because the mean of its divisors is an integer number (875706832).

Almost surely, 2^120144363264 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 120144363264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189152675712).

120144363264 is an abundant number, since it is smaller than the sum of its proper divisors (258160988160).

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

120144363264 is an equidigital number, since it uses as much as digits as its factorization.

120144363264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 120144363264 in words is "one hundred twenty billion, one hundred forty-four million, three hundred sixty-three thousand, two hundred sixty-four".