7245911009160 has 768 divisors, whose sum is σ = 25068130776000. Its totient is φ = 1813089484800.

The previous prime is 7245911009147. The next prime is 7245911009173. The reversal of 7245911009160 is 619001195427.

7245911009160 is a `hidden beast` number, since 7 + 2 + 459 + 1 + 100 + 91 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7245911009147) and next prime (7245911009173).

It can be written as a sum of positive squares in 32 ways, for example, as 878535039204 + 6367375969956 = 937302^2 + 2523366^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8740543626 + ... + 8740544454.

Almost surely, 2^{7245911009160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7245911009160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12534065388000).

7245911009160 is an abundant number, since it is smaller than the sum of its proper divisors (17822219766840).

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

7245911009160 is a wasteful number, since it uses less digits than its factorization.

7245911009160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 7245911009160 in words is "seven trillion, two hundred forty-five billion, nine hundred eleven million, nine thousand, one hundred sixty".