46642654120000 has 140 divisors (see below), whose sum is σ = 115699333171356. Its totient is φ = 18650494720000.

The previous prime is 46642654119959. The next prime is 46642654120043. The reversal of 46642654120000 is 2145624664.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 18577410263104 + 28065243856896 = 4310152^2 + 5297664^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 114236214 + ... + 114643786.

Almost surely, 2^{46642654120000} is an apocalyptic number.

46642654120000 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 46642654120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57849666585678).

46642654120000 is an abundant number, since it is smaller than the sum of its proper divisors (69056679051356).

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

46642654120000 is an equidigital number, since it uses as much as digits as its factorization.

46642654120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410466 (or 410441 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

Adding to 46642654120000 its reverse (2145624664), we get a palindrome (46644799744664).

The spelling of 46642654120000 in words is "forty-six trillion, six hundred forty-two billion, six hundred fifty-four million, one hundred twenty thousand".