48782900694528 has 3840 divisors, whose sum is σ = 204959649742848. Its totient is φ = 10765467648000.

The previous prime is 48782900694527. The next prime is 48782900694589. The reversal of 48782900694528 is 82549600928784.

48782900694528 is a `hidden beast` number, since 4 + 8 + 7 + 8 + 2 + 9 + 0 + 0 + 6 + 94 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48782900694527) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 310719112626 + ... + 310719112782.

Almost surely, 2^{48782900694528} is an apocalyptic number.

48782900694528 is a gapful number since it is divisible by the number (48) 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 48782900694528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102479824871424).

48782900694528 is an abundant number, since it is smaller than the sum of its proper divisors (156176749048320).

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

48782900694528 is a wasteful number, since it uses less digits than its factorization.

48782900694528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 48782900694528 in words is "forty-eight trillion, seven hundred eighty-two billion, nine hundred million, six hundred ninety-four thousand, five hundred twenty-eight".