1045693503360 has 384 divisors, whose sum is σ = 3976015455360. Its totient is φ = 251130654720.

The previous prime is 1045693503331. The next prime is 1045693503373. The reversal of 1045693503360 is 633053965401.

1045693503360 is a `hidden beast` number, since 1 + 0 + 4 + 56 + 93 + 503 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 6702399 + ... + 6856641.

It is an arithmetic number, because the mean of its divisors is an integer number (10354206915).

Almost surely, 2^{1045693503360} is an apocalyptic number.

1045693503360 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 1045693503360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988007727680).

1045693503360 is an abundant number, since it is smaller than the sum of its proper divisors (2930321952000).

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

1045693503360 is a wasteful number, since it uses less digits than its factorization.

1045693503360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154386 (or 154371 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 1045693503360 in words is "one trillion, forty-five billion, six hundred ninety-three million, five hundred three thousand, three hundred sixty".