46972457280000 has 1000 divisors, whose sum is σ = 200222991283392. Its totient is φ = 10736520192000.

The previous prime is 46972457279987. The next prime is 46972457280013. The reversal of 46972457280000 is 8275427964.

46972457280000 is a `hidden beast` number, since 4 + 69 + 7 + 2 + 4 + 572 + 8 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46972457279987) and next prime (46972457280013).

It is a tau number, because it is divible by the number of its divisors (1000).

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 99 ways as a sum of consecutive naturals, for example, 181310557 + ... + 181569443.

Almost surely, 2^{46972457280000} is an apocalyptic number.

46972457280000 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 46972457280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100111495641696).

46972457280000 is an abundant number, since it is smaller than the sum of its proper divisors (153250534003392).

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

46972457280000 is an frugal number, since it uses more digits than its factorization.

46972457280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258944 (or 258904 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 46972457280000 in words is "forty-six trillion, nine hundred seventy-two billion, four hundred fifty-seven million, two hundred eighty thousand".