48034113343680 has 448 divisors, whose sum is σ = 162752440803840. Its totient is φ = 11960886951936.

The previous prime is 48034113343651. The next prime is 48034113343691. The reversal of 48034113343680 is 8634331143084.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1294108482 + ... + 1294145598.

Almost surely, 2^{48034113343680} is an apocalyptic number.

48034113343680 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 48034113343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81376220401920).

48034113343680 is an abundant number, since it is smaller than the sum of its proper divisors (114718327460160).

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

48034113343680 is a wasteful number, since it uses less digits than its factorization.

48034113343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37776 (or 37766 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 48034113343680 in words is "forty-eight trillion, thirty-four billion, one hundred thirteen million, three hundred forty-three thousand, six hundred eighty".