45347180004000 has 288 divisors, whose sum is σ = 183928163118336. Its totient is φ = 10365069657600.

The previous prime is 45347180003981. The next prime is 45347180004013. The reversal of 45347180004000 is 40008174354.

45347180004000 is a `hidden beast` number, since 4 + 534 + 7 + 1 + 80 + 0 + 0 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89722564 + ... + 90226563.

It is an arithmetic number, because the mean of its divisors is an integer number (638639455272).

Almost surely, 2^{45347180004000} is an apocalyptic number.

45347180004000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45347180004000 is an abundant number, since it is smaller than the sum of its proper divisors (138580983114336).

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

45347180004000 is a wasteful number, since it uses less digits than its factorization.

45347180004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179949165 (or 179949144 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 45347180004000 its reverse (40008174354), we get a palindrome (45387188178354).

The spelling of 45347180004000 in words is "forty-five trillion, three hundred forty-seven billion, one hundred eighty million, four thousand".