46806801809400 has 768 divisors, whose sum is σ = 170551941120000. Its totient is φ = 11779727339520.

The previous prime is 46806801809399. The next prime is 46806801809423. The reversal of 46806801809400 is 490810860864.

46806801809400 is a `hidden beast` number, since 4 + 6 + 80 + 6 + 80 + 1 + 80 + 9 + 400 = 666.

It is a super-2 number, since 2×46806801809400² (a number of 28 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 6351848916 + ... + 6351856284.

It is an arithmetic number, because the mean of its divisors is an integer number (222072840000).

Almost surely, 2^{46806801809400} is an apocalyptic number.

46806801809400 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 46806801809400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85275970560000).

46806801809400 is an abundant number, since it is smaller than the sum of its proper divisors (123745139310600).

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

46806801809400 is a wasteful number, since it uses less digits than its factorization.

46806801809400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8333 (or 8318 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 46806801809400 in words is "forty-six trillion, eight hundred six billion, eight hundred one million, eight hundred nine thousand, four hundred".