1045974746880 has 720 divisors, whose sum is σ = 4424942934720. Its totient is φ = 230831161344.

The previous prime is 1045974746867. The next prime is 1045974746897. The reversal of 1045974746880 is 886474795401.

1045974746880 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 97 + 4 + 7 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1045974746880² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21022192 + ... + 21071888.

It is an arithmetic number, because the mean of its divisors is an integer number (6145754076).

Almost surely, 2^{1045974746880} is an apocalyptic number.

1045974746880 is a gapful number since it is divisible by the number (10) 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 1045974746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212471467360).

1045974746880 is an abundant number, since it is smaller than the sum of its proper divisors (3378968187840).

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

1045974746880 is an equidigital number, since it uses as much as digits as its factorization.

1045974746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49766 (or 49743 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 1045974746880 in words is "one trillion, forty-five billion, nine hundred seventy-four million, seven hundred forty-six thousand, eight hundred eighty".