146869453958400 has 648 divisors, whose sum is σ = 553447400458680. Its totient is φ = 37101157416960.

The previous prime is 146869453958393. The next prime is 146869453958419. The reversal of 146869453958400 is 4859354968641.

146869453958400 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 6 + 9 + 4 + 5 + 39 + 584 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 25057793362176 + 121811660596224 = 5005776^2 + 11036832^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87701722 + ... + 89360678.

It is an arithmetic number, because the mean of its divisors is an integer number (854085494535).

Almost surely, 2^{146869453958400} is an apocalyptic number.

146869453958400 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 146869453958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276723700229340).

146869453958400 is an abundant number, since it is smaller than the sum of its proper divisors (406577946500280).

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

146869453958400 is a wasteful number, since it uses less digits than its factorization.

146869453958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659071 (or 1659049 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 72.

The spelling of 146869453958400 in words is "one hundred forty-six trillion, eight hundred sixty-nine billion, four hundred fifty-three million, nine hundred fifty-eight thousand, four hundred".