46287254718720 has 1440 divisors, whose sum is σ = 173568026016000. Its totient is φ = 11763582566400.

The previous prime is 46287254718643. The next prime is 46287254718743. The reversal of 46287254718720 is 2781745278264.

46287254718720 is a `hidden beast` number, since 4 + 6 + 2 + 8 + 7 + 2 + 547 + 1 + 87 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 122129959491 + ... + 122129959869.

It is an arithmetic number, because the mean of its divisors is an integer number (120533351400).

Almost surely, 2^{46287254718720} is an apocalyptic number.

46287254718720 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 46287254718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86784013008000).

46287254718720 is an abundant number, since it is smaller than the sum of its proper divisors (127280771297280).

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

46287254718720 is a wasteful number, since it uses less digits than its factorization.

46287254718720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 84295680, while the sum is 63.

The spelling of 46287254718720 in words is "forty-six trillion, two hundred eighty-seven billion, two hundred fifty-four million, seven hundred eighteen thousand, seven hundred twenty".