54464568312000 has 1792 divisors, whose sum is σ = 238388290043904. Its totient is φ = 10607616000000.

The previous prime is 54464568311977. The next prime is 54464568312023. The reversal of 54464568312000 is 21386546445.

It is an interprime number because it is at equal distance from previous prime (54464568311977) and next prime (54464568312023).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7885412547 + ... + 7885419453.

It is an arithmetic number, because the mean of its divisors is an integer number (133029179712).

Almost surely, 2^{54464568312000} is an apocalyptic number.

54464568312000 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 54464568312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119194145021952).

54464568312000 is an abundant number, since it is smaller than the sum of its proper divisors (183923721731904).

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

54464568312000 is a wasteful number, since it uses less digits than its factorization.

54464568312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7223 (or 7203 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 54464568312000 in words is "fifty-four trillion, four hundred sixty-four billion, five hundred sixty-eight million, three hundred twelve thousand".