18777374534000 has 160 divisors (see below), whose sum is σ = 45863676144000. Its totient is φ = 7435240243200.

The previous prime is 18777374533961. The next prime is 18777374534003. The reversal of 18777374534000 is 43547377781.

It is a super-2 number, since 2×18777374534000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18777374534003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78286256 + ... + 78525744.

It is an arithmetic number, because the mean of its divisors is an integer number (286647975900).

Almost surely, 2^{18777374534000} is an apocalyptic number.

18777374534000 is a gapful number since it is divisible by the number (10) 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 18777374534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22931838072000).

18777374534000 is an abundant number, since it is smaller than the sum of its proper divisors (27086301610000).

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

18777374534000 is a wasteful number, since it uses less digits than its factorization.

18777374534000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239908 (or 239892 counting only the distinct ones).

The product of its (nonzero) digits is 13829760, while the sum is 56.

The spelling of 18777374534000 in words is "eighteen trillion, seven hundred seventy-seven billion, three hundred seventy-four million, five hundred thirty-four thousand".