48949056000 has 640 divisors, whose sum is σ = 194825030400. Its totient is φ = 12043468800.

The previous prime is 48949055999. The next prime is 48949056011. The reversal of 48949056000 is 65094984.

It is a happy number.

48949056000 is a `hidden beast` number, since 4 + 89 + 4 + 9 + 0 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×48949056000² (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 63 ways as a sum of consecutive naturals, for example, 22462911 + ... + 22465089.

It is an arithmetic number, because the mean of its divisors is an integer number (304414110).

Almost surely, 2^48949056000 is an apocalyptic number.

48949056000 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 48949056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97412515200).

48949056000 is an abundant number, since it is smaller than the sum of its proper divisors (145875974400).

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

48949056000 is a wasteful number, since it uses less digits than its factorization.

48949056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

It can be divided in two parts, 489490 and 56000, that added together give a triangular number (545490 = T₁₀₄₄).

The spelling of 48949056000 in words is "forty-eight billion, nine hundred forty-nine million, fifty-six thousand".