49456915200 has 1944 divisors, whose sum is σ = 236641728960. Its totient is φ = 10102579200.

The previous prime is 49456915187. The next prime is 49456915213. The reversal of 49456915200 is 251965494.

49456915200 is a `hidden beast` number, since 49 + 456 + 9 + 152 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49456915187) and next prime (49456915213).

It is a tau number, because it is divible by the number of its divisors (1944).

It is a super-2 number, since 2×49456915200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 838252771 + ... + 838252829.

Almost surely, 2^49456915200 is an apocalyptic number.

49456915200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49456915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118320864480).

49456915200 is an abundant number, since it is smaller than the sum of its proper divisors (187184813760).

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

49456915200 is a wasteful number, since it uses less digits than its factorization.

49456915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 49456915200 in words is "forty-nine billion, four hundred fifty-six million, nine hundred fifteen thousand, two hundred".