48406598402976 has 1152 divisors, whose sum is σ = 163626667142400. Its totient is φ = 13898162995200.

The previous prime is 48406598402963. The next prime is 48406598403013. The reversal of 48406598402976 is 67920489560484.

48406598402976 is a `hidden beast` number, since 4 + 8 + 4 + 0 + 6 + 598 + 4 + 0 + 29 + 7 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20964311710 + ... + 20964314018.

It is an arithmetic number, because the mean of its divisors is an integer number (142037037450).

Almost surely, 2^{48406598402976} 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 48406598402976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81813333571200).

48406598402976 is an abundant number, since it is smaller than the sum of its proper divisors (115220068739424).

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

48406598402976 is a wasteful number, since it uses less digits than its factorization.

48406598402976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 48406598402976 in words is "forty-eight trillion, four hundred six billion, five hundred ninety-eight million, four hundred two thousand, nine hundred seventy-six".