54906948364140 has 432 divisors, whose sum is σ = 173848465889280. Its totient is φ = 14023001318400.

The previous prime is 54906948364139. The next prime is 54906948364157. The reversal of 54906948364140 is 4146384960945.

It is a happy number.

54906948364140 is a `hidden beast` number, since 5 + 4 + 9 + 0 + 6 + 9 + 483 + 6 + 4 + 140 = 666.

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, 16191961845 + ... + 16191965235.

Almost surely, 2^{54906948364140} 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 54906948364140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86924232944640).

54906948364140 is an abundant number, since it is smaller than the sum of its proper divisors (118941517525140).

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

54906948364140 is a wasteful number, since it uses less digits than its factorization.

54906948364140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 54906948364140 in words is "fifty-four trillion, nine hundred six billion, nine hundred forty-eight million, three hundred sixty-four thousand, one hundred forty".