13774774032054 has 256 divisors, whose sum is σ = 35830948608000. Its totient is φ = 3841343377920.

The previous prime is 13774774032053. The next prime is 13774774032073. The reversal of 13774774032054 is 45023047747731.

13774774032054 is a `hidden beast` number, since 1 + 37 + 74 + 77 + 403 + 20 + 54 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13774774032053) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2861990952 + ... + 2861995764.

It is an arithmetic number, because the mean of its divisors is an integer number (139964643000).

Almost surely, 2^{13774774032054} is an apocalyptic number.

13774774032054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13774774032054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17915474304000).

13774774032054 is an abundant number, since it is smaller than the sum of its proper divisors (22056174575946).

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

13774774032054 is a wasteful number, since it uses less digits than its factorization.

13774774032054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5780 (or 5774 counting only the distinct ones).

The product of its (nonzero) digits is 13829760, while the sum is 54.

The spelling of 13774774032054 in words is "thirteen trillion, seven hundred seventy-four billion, seven hundred seventy-four million, thirty-two thousand, fifty-four".