45164893317120 has 960 divisors, whose sum is σ = 165700504569600. Its totient is φ = 11761273405440.

The previous prime is 45164893317113. The next prime is 45164893317127. The reversal of 45164893317120 is 2171339846154.

45164893317120 is a `hidden beast` number, since 4 + 5 + 1 + 6 + 489 + 3 + 31 + 7 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (45164893317113) and next prime (45164893317127).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (45164893317127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22259680266 + ... + 22259682294.

It is an arithmetic number, because the mean of its divisors is an integer number (172604692260).

It is a 1-persistent number, because it is pandigital, but 2⋅45164893317120 = 90329786634240 is not.

Almost surely, 2^{45164893317120} is an apocalyptic number.

45164893317120 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 45164893317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82850252284800).

45164893317120 is an abundant number, since it is smaller than the sum of its proper divisors (120535611252480).

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

45164893317120 is a wasteful number, since it uses less digits than its factorization.

45164893317120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 45164893317120 in words is "forty-five trillion, one hundred sixty-four billion, eight hundred ninety-three million, three hundred seventeen thousand, one hundred twenty".