18139560781824 has 384 divisors, whose sum is σ = 55148406768000. Its totient is φ = 5889002176512.

The previous prime is 18139560781817. The next prime is 18139560781831. The reversal of 18139560781824 is 42818706593181.

18139560781824 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 9 + 5 + 607 + 8 + 18 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (18139560781817) and next prime (18139560781831).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×18139560781824² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401481667 + ... + 401526845.

It is an arithmetic number, because the mean of its divisors is an integer number (143615642625).

It is a 1-persistent number, because it is pandigital, but 2⋅18139560781824 = 36279121563648 is not.

Almost surely, 2^{18139560781824} 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 18139560781824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27574203384000).

18139560781824 is an abundant number, since it is smaller than the sum of its proper divisors (37008845986176).

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

18139560781824 is a wasteful number, since it uses less digits than its factorization.

18139560781824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45400 (or 45374 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 18139560781824 in words is "eighteen trillion, one hundred thirty-nine billion, five hundred sixty million, seven hundred eighty-one thousand, eight hundred twenty-four".