46248294400000 has 720 divisors, whose sum is σ = 144149190361344. Its totient is φ = 14413824000000.

The previous prime is 46248294399997. The next prime is 46248294400013. The reversal of 46248294400000 is 449284264.

It is a self number, because there is not a number n which added to its sum of digits gives 46248294400000.

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, 3942394135 + ... + 3942405865.

Almost surely, 2^{46248294400000} is an apocalyptic number.

46248294400000 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 46248294400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72074595180672).

46248294400000 is an abundant number, since it is smaller than the sum of its proper divisors (97900895961344).

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

46248294400000 is an frugal number, since it uses more digits than its factorization.

46248294400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11802 (or 11756 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 46248294400000 in words is "forty-six trillion, two hundred forty-eight billion, two hundred ninety-four million, four hundred thousand".