45456984540000 has 3360 divisors, whose sum is σ = 194285450354688. Its totient is φ = 10357632000000.

The previous prime is 45456984539977. The next prime is 45456984540053. The reversal of 45456984540000 is 4548965454.

It is a happy number.

45456984540000 is a `hidden beast` number, since 4 + 5 + 4 + 5 + 6 + 98 + 4 + 540 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 559 ways as a sum of consecutive naturals, for example, 203842979889 + ... + 203842980111.

Almost surely, 2^{45456984540000} is an apocalyptic number.

45456984540000 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 45456984540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97142725177344).

45456984540000 is an abundant number, since it is smaller than the sum of its proper divisors (148828465814688).

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

45456984540000 is a wasteful number, since it uses less digits than its factorization.

45456984540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 45456984540000 in words is "forty-five trillion, four hundred fifty-six billion, nine hundred eighty-four million, five hundred forty thousand".