18960504351456 has 96 divisors (see below), whose sum is σ = 50267881704096. Its totient is φ = 6257122560000.

The previous prime is 18960504351449. The next prime is 18960504351463. The reversal of 18960504351456 is 65415340506981.

It is an interprime number because it is at equal distance from previous prime (18960504351449) and next prime (18960504351463).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×18960504351456² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18960504351396 and 18960504351405.

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 15 ways as a sum of consecutive naturals, for example, 143638446 + ... + 143770386.

It is an arithmetic number, because the mean of its divisors is an integer number (523623767751).

Almost surely, 2^{18960504351456} is an apocalyptic number.

18960504351456 is a gapful number since it is divisible by the number (16) 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 18960504351456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25133940852048).

18960504351456 is an abundant number, since it is smaller than the sum of its proper divisors (31307377352640).

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

18960504351456 is a wasteful number, since it uses less digits than its factorization.

18960504351456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146876 (or 146868 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 57.

The spelling of 18960504351456 in words is "eighteen trillion, nine hundred sixty billion, five hundred four million, three hundred fifty-one thousand, four hundred fifty-six".