48076479474624 has 224 divisors, whose sum is σ = 152566542720000. Its totient is φ = 14800155245568.

The previous prime is 48076479474607. The next prime is 48076479474629. The reversal of 48076479474624 is 42647497467084.

48076479474624 is a `hidden beast` number, since 4 + 8 + 0 + 7 + 64 + 79 + 474 + 6 + 24 = 666.

It is a super-3 number, since 3×48076479474624³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48076479474629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19703524 + ... + 22008675.

Almost surely, 2^{48076479474624} is an apocalyptic number.

It is an amenable number.

48076479474624 is an abundant number, since it is smaller than the sum of its proper divisors (104490063245376).

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

48076479474624 is a wasteful number, since it uses less digits than its factorization.

48076479474624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41712272 (or 41712256 counting only the distinct ones).

The product of its (nonzero) digits is 1820786688, while the sum is 72.

The spelling of 48076479474624 in words is "forty-eight trillion, seventy-six billion, four hundred seventy-nine million, four hundred seventy-four thousand, six hundred twenty-four".