49545417744 has 165 divisors, whose sum is σ = 144622082973. Its totient is φ = 16443020736.

The previous prime is 49545417707. The next prime is 49545417751. The reversal of 49545417744 is 44771454594.

It is a happy number.

The square root of 49545417744 is 222588.

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

49545417744 is a `hidden beast` number, since 4 + 9 + 54 + 541 + 7 + 7 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46144195344 + 3401222400 = 214812^2 + 58320^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 216355422 + ... + 216355650.

Almost surely, 2^49545417744 is an apocalyptic number.

49545417744 is the 222588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49545417744

49545417744 is an abundant number, since it is smaller than the sum of its proper divisors (95076665229).

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

49545417744 is an frugal number, since it uses more digits than its factorization.

49545417744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 234 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 49545417744 in words is "forty-nine billion, five hundred forty-five million, four hundred seventeen thousand, seven hundred forty-four".