49735156032 has 392 divisors, whose sum is σ = 154473322752. Its totient is φ = 15863040000.

The previous prime is 49735156019. The next prime is 49735156033. The reversal of 49735156032 is 23065153794.

49735156032 is a `hidden beast` number, since 4 + 9 + 7 + 3 + 51 + 560 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49735156033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 198147907 + ... + 198148157.

Almost surely, 2^49735156032 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 49735156032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77236661376).

49735156032 is an abundant number, since it is smaller than the sum of its proper divisors (104738166720).

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

49735156032 is a wasteful number, since it uses less digits than its factorization.

49735156032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 49735156032 in words is "forty-nine billion, seven hundred thirty-five million, one hundred fifty-six thousand, thirty-two".