46080000000000 has 660 divisors, whose sum is σ = 166399837900725. Its totient is φ = 12288000000000.

The previous prime is 46079999999827. The next prime is 46080000000061. The reversal of 46080000000000 is 8064.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 26524642443264 + 19555357556736 = 5150208^2 + 4422144^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4800000.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 9215999999998 + ... + 9216000000002.

Almost surely, 2^{46080000000000} is an apocalyptic number.

46080000000000 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 46080000000000

46080000000000 is an abundant number, since it is smaller than the sum of its proper divisors (120319837900725).

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

46080000000000 is an frugal number, since it uses more digits than its factorization.

46080000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Multiplying 46080000000000 by its sum of digits (18), we get a square (829440000000000 = 28800000²).

46080000000000 divided by its sum of digits (18) gives a square (2560000000000 = 1600000²).

Adding to 46080000000000 its reverse (8064), we get a palindrome (46080000008064).

The spelling of 46080000000000 in words is "forty-six trillion, eighty billion", and thus it is an aban number and an uban number.