46241364015000 has 1920 divisors, whose sum is σ = 201232680929280. Its totient is φ = 9309427200000.

The previous prime is 46241364014999. The next prime is 46241364015031. The reversal of 46241364015000 is 51046314264.

46241364015000 is a `hidden beast` number, since 4 + 6 + 2 + 4 + 1 + 3 + 640 + 1 + 5 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 37564064385 + ... + 37564065615.

It is an arithmetic number, because the mean of its divisors is an integer number (104808687984).

Almost surely, 2^{46241364015000} is an apocalyptic number.

46241364015000 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 46241364015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100616340464640).

46241364015000 is an abundant number, since it is smaller than the sum of its proper divisors (154991316914280).

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

46241364015000 is a wasteful number, since it uses less digits than its factorization.

46241364015000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 46241364015000 in words is "forty-six trillion, two hundred forty-one billion, three hundred sixty-four million, fifteen thousand".