54963950298048 has 1008 divisors, whose sum is σ = 185249048295168. Its totient is φ = 15447859200000.

The previous prime is 54963950298007. The next prime is 54963950298113. The reversal of 54963950298048 is 84089205936945.

54963950298048 is a `hidden beast` number, since 5 + 4 + 9 + 6 + 39 + 502 + 9 + 80 + 4 + 8 = 666.

It is a super-2 number, since 2×54963950298048² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37880047723 + ... + 37880049173.

Almost surely, 2^{54963950298048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54963950298048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92624524147584).

54963950298048 is an abundant number, since it is smaller than the sum of its proper divisors (130285097997120).

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

54963950298048 is a wasteful number, since it uses less digits than its factorization.

54963950298048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 54963950298048 in words is "fifty-four trillion, nine hundred sixty-three billion, nine hundred fifty million, two hundred ninety-eight thousand, forty-eight".