48496730462400 has 336 divisors, whose sum is σ = 173716363369728. Its totient is φ = 11747154432000.

The previous prime is 48496730462357. The next prime is 48496730462417. The reversal of 48496730462400 is 426403769484.

It is a super-2 number, since 2×48496730462400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64198890 + ... + 64949910.

Almost surely, 2^{48496730462400} is an apocalyptic number.

48496730462400 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 48496730462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86858181684864).

48496730462400 is an abundant number, since it is smaller than the sum of its proper divisors (125219632907328).

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

48496730462400 is a wasteful number, since it uses less digits than its factorization.

48496730462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752280 (or 752265 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 57.

The spelling of 48496730462400 in words is "forty-eight trillion, four hundred ninety-six billion, seven hundred thirty million, four hundred sixty-two thousand, four hundred".