5456962262016 has 176 divisors, whose sum is σ = 16196912064000. Its totient is φ = 1814932094976.

The previous prime is 5456962261987. The next prime is 5456962262083. The reversal of 5456962262016 is 6102622696545.

5456962262016 is a `hidden beast` number, since 5 + 4 + 5 + 6 + 9 + 6 + 2 + 2 + 620 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12194161 + ... + 12633743.

Almost surely, 2^{5456962262016} 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 5456962262016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8098456032000).

5456962262016 is an abundant number, since it is smaller than the sum of its proper divisors (10739949801984).

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

5456962262016 is a wasteful number, since it uses less digits than its factorization.

5456962262016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440061 (or 440037 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 5456962262016 in words is "five trillion, four hundred fifty-six billion, nine hundred sixty-two million, two hundred sixty-two thousand, sixteen".