49252591365984 has 192 divisors, whose sum is σ = 146804503265280. Its totient is φ = 16057854167040.

The previous prime is 49252591365973. The next prime is 49252591366009. The reversal of 49252591365984 is 48956319525294.

49252591365984 is a `hidden beast` number, since 4 + 9 + 2 + 5 + 25 + 9 + 1 + 3 + 6 + 598 + 4 = 666.

49252591365984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62673729 + ... + 63454719.

It is an arithmetic number, because the mean of its divisors is an integer number (764606787840).

Almost surely, 2^{49252591365984} 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 49252591365984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73402251632640).

49252591365984 is an abundant number, since it is smaller than the sum of its proper divisors (97551911899296).

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

49252591365984 is a wasteful number, since it uses less digits than its factorization.

49252591365984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782610 (or 782596 counting only the distinct ones).

The product of its digits is 839808000, while the sum is 72.

The spelling of 49252591365984 in words is "forty-nine trillion, two hundred fifty-two billion, five hundred ninety-one million, three hundred sixty-five thousand, nine hundred eighty-four".