361659216971520 has 3456 divisors, whose sum is σ = 1595657462784000. Its totient is φ = 76800463994880.

The previous prime is 361659216971513. The next prime is 361659216971573. The reversal of 361659216971520 is 25179612956163.

361659216971520 is a `hidden beast` number, since 3 + 6 + 1 + 6 + 5 + 9 + 2 + 16 + 97 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×361659216971520² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 76476888516 + ... + 76476893244.

Almost surely, 2^{361659216971520} is an apocalyptic number.

361659216971520 is a gapful number since it is divisible by the number (30) 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 361659216971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797828731392000).

361659216971520 is an abundant number, since it is smaller than the sum of its proper divisors (1233998245812480).

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

361659216971520 is a wasteful number, since it uses less digits than its factorization.

361659216971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4856 (or 4819 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 361659216971520 in words is "three hundred sixty-one trillion, six hundred fifty-nine billion, two hundred sixteen million, nine hundred seventy-one thousand, five hundred twenty".