4549656960000 has 1320 divisors, whose sum is σ = 17597543483520. Its totient is φ = 1127743488000.

The previous prime is 4549656959999. The next prime is 4549656960113. The reversal of 4549656960000 is 696569454.

4549656960000 is a `hidden beast` number, since 4 + 549 + 6 + 5 + 6 + 96 + 0 + 0 + 0 + 0 = 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9498239761 + ... + 9498240239.

It is an arithmetic number, because the mean of its divisors is an integer number (13331472336).

Almost surely, 2^{4549656960000} is an apocalyptic number.

4549656960000 is a gapful number since it is divisible by the number (40) 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 4549656960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8798771741760).

4549656960000 is an abundant number, since it is smaller than the sum of its proper divisors (13047886523520).

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

4549656960000 is a wasteful number, since it uses less digits than its factorization.

4549656960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 4549656960000 in words is "four trillion, five hundred forty-nine billion, six hundred fifty-six million, nine hundred sixty thousand".