48046072123764 has 1440 divisors, whose sum is σ = 163437022425600. Its totient is φ = 12143671787520.

The previous prime is 48046072123663. The next prime is 48046072123787. The reversal of 48046072123764 is 46732127064084.

48046072123764 is a `hidden beast` number, since 4 + 8 + 0 + 4 + 607 + 2 + 1 + 23 + 7 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48046072123764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 70969086994 + ... + 70969087670.

It is an arithmetic number, because the mean of its divisors is an integer number (113497932240).

Almost surely, 2^{48046072123764} is an apocalyptic number.

48046072123764 is a gapful number since it is divisible by the number (44) 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 48046072123764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81718511212800).

48046072123764 is an abundant number, since it is smaller than the sum of its proper divisors (115390950301836).

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

48046072123764 is a wasteful number, since it uses less digits than its factorization.

48046072123764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 48046072123764 in words is "forty-eight trillion, forty-six billion, seventy-two million, one hundred twenty-three thousand, seven hundred sixty-four".