48629081289600 has 3072 divisors, whose sum is σ = 219399290880000. Its totient is φ = 10497973248000.

The previous prime is 48629081289599. The next prime is 48629081289601. The reversal of 48629081289600 is 698218092684.

48629081289600 is a `hidden beast` number, since 4 + 8 + 6 + 2 + 9 + 0 + 8 + 12 + 8 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (48629081289599) and next prime (48629081289601).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48629081289601) 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, 39503720985 + ... + 39503722215.

It is an arithmetic number, because the mean of its divisors is an integer number (71419040000).

Almost surely, 2^{48629081289600} is an apocalyptic number.

48629081289600 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 48629081289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109699645440000).

48629081289600 is an abundant number, since it is smaller than the sum of its proper divisors (170770209590400).

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

48629081289600 is a wasteful number, since it uses less digits than its factorization.

48629081289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 48629081289600 in words is "forty-eight trillion, six hundred twenty-nine billion, eighty-one million, two hundred eighty-nine thousand, six hundred".