54192413814 has 256 divisors, whose sum is σ = 146014617600. Its totient is φ = 12986265600.

The previous prime is 54192413797. The next prime is 54192413921. The reversal of 54192413814 is 41831429145.

It is a super-3 number, since 3×54192413814³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55467694 + ... + 55468670.

It is an arithmetic number, because the mean of its divisors is an integer number (570369600).

Almost surely, 2^54192413814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54192413814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73007308800).

54192413814 is an abundant number, since it is smaller than the sum of its proper divisors (91822203786).

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

54192413814 is a wasteful number, since it uses less digits than its factorization.

54192413814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179.

The product of its digits is 138240, while the sum is 42.

The spelling of 54192413814 in words is "fifty-four billion, one hundred ninety-two million, four hundred thirteen thousand, eight hundred fourteen".