46094492620800 has 3456 divisors, whose sum is σ = 200762441006400. Its totient is φ = 10268599910400.

The previous prime is 46094492620763. The next prime is 46094492620811. The reversal of 46094492620800 is 802629449064.

46094492620800 is a `hidden beast` number, since 4 + 6 + 0 + 9 + 4 + 4 + 9 + 2 + 620 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 293595494322 + ... + 293595494478.

Almost surely, 2^{46094492620800} is an apocalyptic number.

46094492620800 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 46094492620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100381220503200).

46094492620800 is an abundant number, since it is smaller than the sum of its proper divisors (154667948385600).

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

46094492620800 is a wasteful number, since it uses less digits than its factorization.

46094492620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 46094492620800 in words is "forty-six trillion, ninety-four billion, four hundred ninety-two million, six hundred twenty thousand, eight hundred".