48366318792000 has 3584 divisors, whose sum is σ = 199692178882560. Its totient is φ = 10174464000000.

The previous prime is 48366318791981. The next prime is 48366318792019. The reversal of 48366318792000 is 29781366384.

It is an interprime number because it is at equal distance from previous prime (48366318791981) and next prime (48366318792019).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 347959127931 + ... + 347959128069.

It is an arithmetic number, because the mean of its divisors is an integer number (55717683840).

Almost surely, 2^{48366318792000} is an apocalyptic number.

48366318792000 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 48366318792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99846089441280).

48366318792000 is an abundant number, since it is smaller than the sum of its proper divisors (151325860090560).

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

48366318792000 is a wasteful number, since it uses less digits than its factorization.

48366318792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 48366318792000 in words is "forty-eight trillion, three hundred sixty-six billion, three hundred eighteen million, seven hundred ninety-two thousand".