46053160000 has 315 divisors, whose sum is σ = 121553370939. Its totient is φ = 17305344000.

The previous prime is 46053159979. The next prime is 46053160031. The reversal of 46053160000 is 6135064.

The square root of 46053160000 is 214600.

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

46053160000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 22 ways, for example, as 44311934016 + 1741225984 = 210504^2 + 41728^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1244679982 + ... + 1244680018.

Almost surely, 2^46053160000 is an apocalyptic number.

46053160000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

46053160000 is the 214600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46053160000

46053160000 is an abundant number, since it is smaller than the sum of its proper divisors (75500210939).

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

46053160000 is an frugal number, since it uses more digits than its factorization.

46053160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Multiplying 46053160000 by its sum of digits (25), we get a square (1151329000000 = 1073000²).

46053160000 divided by its sum of digits (25) gives a square (1842126400 = 42920²).

Adding to 46053160000 its reverse (6135064), we get a palindrome (46059295064).

The spelling of 46053160000 in words is "forty-six billion, fifty-three million, one hundred sixty thousand".