46785151269120 has 864 divisors, whose sum is σ = 166183562563200. Its totient is φ = 11208325201920.

The previous prime is 46785151269107. The next prime is 46785151269137. The reversal of 46785151269120 is 2196215158764.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15048294126 + ... + 15048297234.

It is an arithmetic number, because the mean of its divisors is an integer number (192342086300).

Almost surely, 2^{46785151269120} is an apocalyptic number.

46785151269120 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 46785151269120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83091781281600).

46785151269120 is an abundant number, since it is smaller than the sum of its proper divisors (119398411294080).

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

46785151269120 is a wasteful number, since it uses less digits than its factorization.

46785151269120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3527 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 57.

The spelling of 46785151269120 in words is "forty-six trillion, seven hundred eighty-five billion, one hundred fifty-one million, two hundred sixty-nine thousand, one hundred twenty".