46128826800000 has 4608 divisors, whose sum is σ = 214798252032000. Its totient is φ = 9258762240000.

The previous prime is 46128826799989. The next prime is 46128826800011. The reversal of 46128826800000 is 862882164.

46128826800000 is a `hidden beast` number, since 4 + 612 + 8 + 8 + 26 + 8 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46128826799989) and next prime (46128826800011).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 583909199961 + ... + 583909200039.

It is an arithmetic number, because the mean of its divisors is an integer number (46614204000).

Almost surely, 2^{46128826800000} is an apocalyptic number.

46128826800000 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 46128826800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107399126016000).

46128826800000 is an abundant number, since it is smaller than the sum of its proper divisors (168669425232000).

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

46128826800000 is a wasteful number, since it uses less digits than its factorization.

46128826800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 46128826800000 in words is "forty-six trillion, one hundred twenty-eight billion, eight hundred twenty-six million, eight hundred thousand".