48391694400 has 504 divisors, whose sum is σ = 190672248576. Its totient is φ = 10702540800.

The previous prime is 48391694371. The next prime is 48391694413. The reversal of 48391694400 is 449619384.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48391694400.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7287882 + ... + 7294518.

Almost surely, 2^48391694400 is an apocalyptic number.

48391694400 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 48391694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95336124288).

48391694400 is an abundant number, since it is smaller than the sum of its proper divisors (142280554176).

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

48391694400 is a wasteful number, since it uses less digits than its factorization.

48391694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6707 (or 6685 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 48391694400 in words is "forty-eight billion, three hundred ninety-one million, six hundred ninety-four thousand, four hundred".