46099310409600 has 384 divisors, whose sum is σ = 175066676801280. Its totient is φ = 10443735859200.

The previous prime is 46099310409589. The next prime is 46099310409641. The reversal of 46099310409600 is 690401399064.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 4558195 + ... + 10629005.

It is an arithmetic number, because the mean of its divisors is an integer number (455902804170).

Almost surely, 2^{46099310409600} is an apocalyptic number.

46099310409600 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 46099310409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87533338400640).

46099310409600 is an abundant number, since it is smaller than the sum of its proper divisors (128967366391680).

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

46099310409600 is a wasteful number, since it uses less digits than its factorization.

46099310409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6070958 (or 6070941 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 51.

The spelling of 46099310409600 in words is "forty-six trillion, ninety-nine billion, three hundred ten million, four hundred nine thousand, six hundred".