48034612224 has 165 divisors, whose sum is σ = 143629480621. Its totient is φ = 15990497280.

The previous prime is 48034612183. The next prime is 48034612229. The reversal of 48034612224 is 42221643084.

The square root of 48034612224 is 219168.

It is a perfect power (a square), and thus also a powerful number.

48034612224 is a `hidden beast` number, since 4 + 8 + 0 + 34 + 612 + 2 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 126157824 + 47908454400 = 11232^2 + 218880^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48034612229) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 63120004 + ... + 63120764.

Almost surely, 2^48034612224 is an apocalyptic number.

48034612224 is the 219168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48034612224

48034612224 is an abundant number, since it is smaller than the sum of its proper divisors (95594868397).

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

48034612224 is an frugal number, since it uses more digits than its factorization.

48034612224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Multiplying 48034612224 by its sum of digits (36), we get a square (1729246040064 = 1315008²).

48034612224 divided by its sum of digits (36) gives a square (1334294784 = 36528²).

The spelling of 48034612224 in words is "forty-eight billion, thirty-four million, six hundred twelve thousand, two hundred twenty-four".