46151587902016 has 189 divisors, whose sum is σ = 95993276638539. Its totient is φ = 22014840093696.

The previous prime is 46151587901987. The next prime is 46151587902029. The reversal of 46151587902016 is 61020978515164.

The square root of 46151587902016 is 6793496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1431660110400 + 44719927791616 = 1196520^2 + 6687296^2 .

It is a super-2 number, since 2×46151587902016² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 118641613950 + ... + 118641614338.

Almost surely, 2^{46151587902016} is an apocalyptic number.

46151587902016 is the 6793496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46151587902016

46151587902016 is an abundant number, since it is smaller than the sum of its proper divisors (49841688736523).

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

46151587902016 is an frugal number, since it uses more digits than its factorization.

46151587902016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 55.

The spelling of 46151587902016 in words is "forty-six trillion, one hundred fifty-one billion, five hundred eighty-seven million, nine hundred two thousand, sixteen".