46014505000 has 80 divisors (see below), whose sum is σ = 110442037860. Its totient is φ = 17956800000.

The previous prime is 46014504997. The next prime is 46014505037. The reversal of 46014505000 is 50541064.

It can be written as a sum of positive squares in 10 ways, for example, as 22618355236 + 23396149764 = 150394^2 + 152958^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 92770 + ... + 317230.

Almost surely, 2^46014505000 is an apocalyptic number.

46014505000 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 46014505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55221018930).

46014505000 is an abundant number, since it is smaller than the sum of its proper divisors (64427532860).

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

46014505000 is a wasteful number, since it uses less digits than its factorization.

46014505000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224528 (or 224509 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 46014505000 in words is "forty-six billion, fourteen million, five hundred five thousand".