48734654270400 has 2352 divisors, whose sum is σ = 212107259060224. Its totient is φ = 10784747151360.

The previous prime is 48734654270389. The next prime is 48734654270479. The reversal of 48734654270400 is 407245643784.

48734654270400 is a `hidden beast` number, since 4 + 8 + 73 + 4 + 65 + 42 + 70 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 44587972254 + ... + 44587973346.

Almost surely, 2^{48734654270400} is an apocalyptic number.

48734654270400 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 48734654270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106053629530112).

48734654270400 is an abundant number, since it is smaller than the sum of its proper divisors (163372604789824).

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

48734654270400 is a wasteful number, since it uses less digits than its factorization.

48734654270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 48734654270400 in words is "forty-eight trillion, seven hundred thirty-four billion, six hundred fifty-four million, two hundred seventy thousand, four hundred".