54850234942944 has 768 divisors, whose sum is σ = 187980549120000. Its totient is φ = 15553003415040.

The previous prime is 54850234942913. The next prime is 54850234942957. The reversal of 54850234942944 is 44924943205845.

54850234942944 is a `hidden beast` number, since 5 + 4 + 8 + 50 + 2 + 3 + 494 + 2 + 94 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46840507479 + ... + 46840508649.

It is an arithmetic number, because the mean of its divisors is an integer number (244766340000).

Almost surely, 2^{54850234942944} is an apocalyptic number.

54850234942944 is a gapful number since it is divisible by the number (54) 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 54850234942944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93990274560000).

54850234942944 is an abundant number, since it is smaller than the sum of its proper divisors (133130314177056).

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

54850234942944 is a wasteful number, since it uses less digits than its factorization.

54850234942944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 63.

The spelling of 54850234942944 in words is "fifty-four trillion, eight hundred fifty billion, two hundred thirty-four million, nine hundred forty-two thousand, nine hundred forty-four".