49346150400 has 768 divisors, whose sum is σ = 191131516800. Its totient is φ = 12457082880.

The previous prime is 49346150389. The next prime is 49346150411. The reversal of 49346150400 is 405164394.

49346150400 is a `hidden beast` number, since 4 + 9 + 34 + 615 + 0 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49346150389) and next prime (49346150411).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 508723152 + ... + 508723248.

Almost surely, 2^49346150400 is an apocalyptic number.

49346150400 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 49346150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95565758400).

49346150400 is an abundant number, since it is smaller than the sum of its proper divisors (141785366400).

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

49346150400 is an equidigital number, since it uses as much as digits as its factorization.

49346150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 49346150400 in words is "forty-nine billion, three hundred forty-six million, one hundred fifty thousand, four hundred".