46513493280 has 576 divisors, whose sum is σ = 174848375520. Its totient is φ = 11211374592.

The previous prime is 46513493261. The next prime is 46513493311. The reversal of 46513493280 is 8239431564.

46513493280 is a `hidden beast` number, since 46 + 513 + 4 + 93 + 2 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 27730242576 + 18783250704 = 166524^2 + 137052^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 80612352 + ... + 80612928.

Almost surely, 2^46513493280 is an apocalyptic number.

46513493280 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 46513493280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87424187760).

46513493280 is an abundant number, since it is smaller than the sum of its proper divisors (128334882240).

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

46513493280 is a wasteful number, since it uses less digits than its factorization.

46513493280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 46513493280 in words is "forty-six billion, five hundred thirteen million, four hundred ninety-three thousand, two hundred eighty".