48309164640 has 480 divisors, whose sum is σ = 187787787264. Its totient is φ = 11598197760.

The previous prime is 48309164611. The next prime is 48309164641. The reversal of 48309164640 is 4646190384.

48309164640 is a `hidden beast` number, since 483 + 0 + 9 + 164 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48309164641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15252337 + ... + 15255503.

Almost surely, 2^48309164640 is an apocalyptic number.

48309164640 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 48309164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93893893632).

48309164640 is an abundant number, since it is smaller than the sum of its proper divisors (139478622624).

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

48309164640 is a wasteful number, since it uses less digits than its factorization.

48309164640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3312 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 48309164640 in words is "forty-eight billion, three hundred nine million, one hundred sixty-four thousand, six hundred forty".