7149311164800 has 2688 divisors, whose sum is σ = 32381955993600. Its totient is φ = 1523747635200.

The previous prime is 7149311164783. The next prime is 7149311164889. The reversal of 7149311164800 is 84611139417.

7149311164800 is a `hidden beast` number, since 7 + 1 + 493 + 1 + 116 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×7149311164800² (a number of 27 digits) contains 22 as substring.

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 335 ways as a sum of consecutive naturals, for example, 14680310157 + ... + 14680310643.

Almost surely, 2^{7149311164800} is an apocalyptic number.

7149311164800 is a gapful number since it is divisible by the number (70) 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 7149311164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16190977996800).

7149311164800 is an abundant number, since it is smaller than the sum of its proper divisors (25232644828800).

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

7149311164800 is a wasteful number, since it uses less digits than its factorization.

7149311164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 7149311164800 in words is "seven trillion, one hundred forty-nine billion, three hundred eleven million, one hundred sixty-four thousand, eight hundred".