48481206696000 has 4480 divisors, whose sum is σ = 219218531051520. Its totient is φ = 10452271104000.

The previous prime is 48481206695951. The next prime is 48481206696077. The reversal of 48481206696000 is 69660218484.

48481206696000 is a `hidden beast` number, since 4 + 8 + 4 + 8 + 1 + 20 + 6 + 6 + 9 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 135045143821 + ... + 135045144179.

It is an arithmetic number, because the mean of its divisors is an integer number (48932707824).

Almost surely, 2^{48481206696000} is an apocalyptic number.

48481206696000 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 48481206696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109609265525760).

48481206696000 is an abundant number, since it is smaller than the sum of its proper divisors (170737324355520).

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

48481206696000 is a wasteful number, since it uses less digits than its factorization.

48481206696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 48481206696000 in words is "forty-eight trillion, four hundred eighty-one billion, two hundred six million, six hundred ninety-six thousand".