46254240000 has 900 divisors, whose sum is σ = 178479880656. Its totient is φ = 11902464000.

The previous prime is 46254239989. The next prime is 46254240001. The reversal of 46254240000 is 4245264.

46254240000 is a `hidden beast` number, since 4 + 6 + 254 + 2 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (46254240001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 557279959 + ... + 557280041.

Almost surely, 2^46254240000 is an apocalyptic number.

46254240000 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 46254240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89239940328).

46254240000 is an abundant number, since it is smaller than the sum of its proper divisors (132225640656).

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

46254240000 is an frugal number, since it uses more digits than its factorization.

46254240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 46254240000 its reverse (4245264), we get a palindrome (46258485264).

The spelling of 46254240000 in words is "forty-six billion, two hundred fifty-four million, two hundred forty thousand".