48626028418032 has 240 divisors, whose sum is σ = 151312319558400. Its totient is φ = 14476214661120.

The previous prime is 48626028418003. The next prime is 48626028418069. The reversal of 48626028418032 is 23081482062684.

48626028418032 is a `hidden beast` number, since 4 + 8 + 626 + 0 + 2 + 8 + 4 + 1 + 8 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×48626028418032² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48626028418032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288276694 + ... + 288445322.

It is an arithmetic number, because the mean of its divisors is an integer number (630467998160).

Almost surely, 2^{48626028418032} 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 48626028418032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75656159779200).

48626028418032 is an abundant number, since it is smaller than the sum of its proper divisors (102686291140368).

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

48626028418032 is a wasteful number, since it uses less digits than its factorization.

48626028418032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173656 (or 173647 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 48626028418032 in words is "forty-eight trillion, six hundred twenty-six billion, twenty-eight million, four hundred eighteen thousand, thirty-two".