48404759445504 has 2592 divisors, whose sum is σ = 196143495964416. Its totient is φ = 11557907988480.

The previous prime is 48404759445463. The next prime is 48404759445509. The reversal of 48404759445504 is 40554495740484.

It is a happy number.

48404759445504 is a `hidden beast` number, since 4 + 8 + 4 + 0 + 4 + 75 + 9 + 4 + 4 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-3 number, since 3×48404759445504³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48404759445509) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1125692080107 + ... + 1125692080149.

It is an arithmetic number, because the mean of its divisors is an integer number (75672645048).

Almost surely, 2^{48404759445504} is an apocalyptic number.

48404759445504 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 48404759445504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98071747982208).

48404759445504 is an abundant number, since it is smaller than the sum of its proper divisors (147738736518912).

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

48404759445504 is an frugal number, since it uses more digits than its factorization.

48404759445504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 258048000, while the sum is 63.

The spelling of 48404759445504 in words is "forty-eight trillion, four hundred four billion, seven hundred fifty-nine million, four hundred forty-five thousand, five hundred four".