146819224166400 has 1680 divisors, whose sum is σ = 552377561573376. Its totient is φ = 38546425774080.

The previous prime is 146819224166399. The next prime is 146819224166437. The reversal of 146819224166400 is 4661422918641.

146819224166400 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 1 + 9 + 224 + 1 + 6 + 6 + 400 = 666.

It is a super-2 number, since 2×146819224166400² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 478238515047 + ... + 478238515353.

Almost surely, 2^{146819224166400} is an apocalyptic number.

146819224166400 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 146819224166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276188780786688).

146819224166400 is an abundant number, since it is smaller than the sum of its proper divisors (405558337406976).

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

146819224166400 is a wasteful number, since it uses less digits than its factorization.

146819224166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 146819224166400 in words is "one hundred forty-six trillion, eight hundred nineteen billion, two hundred twenty-four million, one hundred sixty-six thousand, four hundred".