49365919756152 has 1024 divisors, whose sum is σ = 154105439846400. Its totient is φ = 14589861834240.

The previous prime is 49365919756147. The next prime is 49365919756159. The reversal of 49365919756152 is 25165791956394.

49365919756152 is a `hidden beast` number, since 4 + 9 + 3 + 6 + 5 + 9 + 1 + 9 + 7 + 561 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49365919756159) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 76299721093 + ... + 76299721739.

It is an arithmetic number, because the mean of its divisors is an integer number (150493593600).

Almost surely, 2^{49365919756152} 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 49365919756152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77052719923200).

49365919756152 is an abundant number, since it is smaller than the sum of its proper divisors (104739520090248).

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

49365919756152 is a wasteful number, since it uses less digits than its factorization.

49365919756152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 963 counting only the distinct ones).

The product of its digits is 551124000, while the sum is 72.

The spelling of 49365919756152 in words is "forty-nine trillion, three hundred sixty-five billion, nine hundred nineteen million, seven hundred fifty-six thousand, one hundred fifty-two".