46206577872000 has 4096 divisors, whose sum is σ = 217261887897600. Its totient is φ = 9393905664000.

The previous prime is 46206577871977. The next prime is 46206577872011. The reversal of 46206577872000 is 27877560264.

46206577872000 is a `hidden beast` number, since 4 + 62 + 0 + 6 + 577 + 8 + 7 + 2 + 0 + 0 + 0 = 666.

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 511 ways as a sum of consecutive naturals, for example, 139596911835 + ... + 139596912165.

It is an arithmetic number, because the mean of its divisors is an integer number (53042453100).

Almost surely, 2^{46206577872000} is an apocalyptic number.

46206577872000 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 46206577872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108630943948800).

46206577872000 is an abundant number, since it is smaller than the sum of its proper divisors (171055310025600).

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

46206577872000 is a wasteful number, since it uses less digits than its factorization.

46206577872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 46206577872000 in words is "forty-six trillion, two hundred six billion, five hundred seventy-seven million, eight hundred seventy-two thousand".