46105049793600 has 1680 divisors, whose sum is σ = 199260099620736. Its totient is φ = 10279249920000.

The previous prime is 46105049793599. The next prime is 46105049793727. The reversal of 46105049793600 is 639794050164.

46105049793600 is a `hidden beast` number, since 4 + 6 + 1 + 0 + 5 + 0 + 497 + 93 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

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, 9038431050 + ... + 9038436150.

Almost surely, 2^{46105049793600} is an apocalyptic number.

46105049793600 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 46105049793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99630049810368).

46105049793600 is an abundant number, since it is smaller than the sum of its proper divisors (153155049827136).

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

46105049793600 is an frugal number, since it uses more digits than its factorization.

46105049793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5198 (or 5159 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 46105049793600 in words is "forty-six trillion, one hundred five billion, forty-nine million, seven hundred ninety-three thousand, six hundred".