48137367767436 has 288 divisors, whose sum is σ = 128804921376768. Its totient is φ = 15716249881920.

The previous prime is 48137367767399. The next prime is 48137367767491. The reversal of 48137367767436 is 63476776373184.

48137367767436 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 73 + 67 + 7 + 67 + 436 = 666.

It is a super-3 number, since 3×48137367767436³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6777043861 + ... + 6777050963.

It is an arithmetic number, because the mean of its divisors is an integer number (447239310336).

Almost surely, 2^{48137367767436} 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 48137367767436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64402460688384).

48137367767436 is an abundant number, since it is smaller than the sum of its proper divisors (80667553609332).

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

48137367767436 is a wasteful number, since it uses less digits than its factorization.

48137367767436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7823 (or 7809 counting only the distinct ones).

The product of its digits is 1792336896, while the sum is 72.

The spelling of 48137367767436 in words is "forty-eight trillion, one hundred thirty-seven billion, three hundred sixty-seven million, seven hundred sixty-seven thousand, four hundred thirty-six".