49154264640 has 896 divisors, whose sum is σ = 203186995200. Its totient is φ = 11078000640.

The previous prime is 49154264629. The next prime is 49154264651. The reversal of 49154264640 is 4646245194.

49154264640 is a `hidden beast` number, since 4 + 9 + 1 + 542 + 64 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (49154264629) and next prime (49154264651).

It is a super-2 number, since 2×49154264640² (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 127 ways as a sum of consecutive naturals, for example, 66156109 + ... + 66156851.

It is an arithmetic number, because the mean of its divisors is an integer number (226771200).

Almost surely, 2^49154264640 is an apocalyptic number.

49154264640 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 49154264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101593497600).

49154264640 is an abundant number, since it is smaller than the sum of its proper divisors (154032730560).

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

49154264640 is a wasteful number, since it uses less digits than its factorization.

49154264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 49154264640 in words is "forty-nine billion, one hundred fifty-four million, two hundred sixty-four thousand, six hundred forty".