46204426944000 has 2400 divisors, whose sum is σ = 194554530016704. Its totient is φ = 10874157465600.

The previous prime is 46204426943861. The next prime is 46204426944029. The reversal of 46204426944000 is 44962440264.

46204426944000 is a `hidden beast` number, since 462 + 0 + 44 + 26 + 94 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20150206854 + ... + 20150209146.

Almost surely, 2^{46204426944000} is an apocalyptic number.

46204426944000 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 46204426944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97277265008352).

46204426944000 is an abundant number, since it is smaller than the sum of its proper divisors (148350103072704).

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

46204426944000 is a wasteful number, since it uses less digits than its factorization.

46204426944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 46204426944000 in words is "forty-six trillion, two hundred four billion, four hundred twenty-six million, nine hundred forty-four thousand".