54214894188000 has 3072 divisors, whose sum is σ = 250474678272000. Its totient is φ = 11317327257600.

The previous prime is 54214894187977. The next prime is 54214894188071. The reversal of 54214894188000 is 88149841245.

54214894188000 is a `hidden beast` number, since 5 + 4 + 2 + 148 + 9 + 418 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 49601915454 + ... + 49601916546.

It is an arithmetic number, because the mean of its divisors is an integer number (81534726000).

Almost surely, 2^{54214894188000} is an apocalyptic number.

54214894188000 is a gapful number since it is divisible by the number (50) 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 54214894188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125237339136000).

54214894188000 is an abundant number, since it is smaller than the sum of its proper divisors (196259784084000).

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

54214894188000 is a wasteful number, since it uses less digits than its factorization.

54214894188000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 54214894188000 in words is "fifty-four trillion, two hundred fourteen billion, eight hundred ninety-four million, one hundred eighty-eight thousand".