146240624814000 has 640 divisors, whose sum is σ = 492421483008000. Its totient is φ = 37292484096000.

The previous prime is 146240624813981. The next prime is 146240624814007. The reversal of 146240624814000 is 418426042641.

It is a Cunningham number, because it is equal to 12092999²-1.

It is a super-2 number, since 2×146240624814000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146240624814007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10424158986 + ... + 10424173014.

It is an arithmetic number, because the mean of its divisors is an integer number (769408567200).

Almost surely, 2^{146240624814000} is an apocalyptic number.

146240624814000 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 146240624814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246210741504000).

146240624814000 is an abundant number, since it is smaller than the sum of its proper divisors (346180858194000).

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

146240624814000 is a wasteful number, since it uses less digits than its factorization.

146240624814000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14654 (or 14638 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 146240624814000 in words is "one hundred forty-six trillion, two hundred forty billion, six hundred twenty-four million, eight hundred fourteen thousand".