46135308758016 has 352 divisors, whose sum is σ = 131585284131840. Its totient is φ = 14320263757824.

The previous prime is 46135308758003. The next prime is 46135308758053. The reversal of 46135308758016 is 61085780353164.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4766531865 + ... + 4766541543.

It is an arithmetic number, because the mean of its divisors is an integer number (373821829920).

Almost surely, 2^{46135308758016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46135308758016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65792642065920).

46135308758016 is an abundant number, since it is smaller than the sum of its proper divisors (85449975373824).

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

46135308758016 is a wasteful number, since it uses less digits than its factorization.

46135308758016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10679 (or 10661 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 46135308758016 in words is "forty-six trillion, one hundred thirty-five billion, three hundred eight million, seven hundred fifty-eight thousand, sixteen".