48662611626684 has 96 divisors (see below), whose sum is σ = 123971093535744. Its totient is φ = 14734032318720.

The previous prime is 48662611626619. The next prime is 48662611626763.

It is a happy number.

48662611626684 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1152493197 + ... + 1152535419.

It is an arithmetic number, because the mean of its divisors is an integer number (1291365557664).

Almost surely, 2^{48662611626684} is an apocalyptic number.

48662611626684 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48662611626684 is an abundant number, since it is smaller than the sum of its proper divisors (75308481909060).

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

48662611626684 is a wasteful number, since it uses less digits than its factorization.

48662611626684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49267 (or 49265 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 66.

The spelling of 48662611626684 in words is "forty-eight trillion, six hundred sixty-two billion, six hundred eleven million, six hundred twenty-six thousand, six hundred eighty-four".