153683041512 has 256 divisors, whose sum is σ = 522931691520. Its totient is φ = 36341913600.

The previous prime is 153683041511. The next prime is 153683041531. The reversal of 153683041512 is 215140386351.

It is a super-2 number, since 2×153683041512² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (153683041511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1709937 + ... + 1797567.

It is an arithmetic number, because the mean of its divisors is an integer number (2042701920).

Almost surely, 2^153683041512 is an apocalyptic number.

153683041512 is a gapful number since it is divisible by the number (12) 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 153683041512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261465845760).

153683041512 is an abundant number, since it is smaller than the sum of its proper divisors (369248650008).

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

153683041512 is a wasteful number, since it uses less digits than its factorization.

153683041512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87744 (or 87740 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 153683041512 in words is "one hundred fifty-three billion, six hundred eighty-three million, forty-one thousand, five hundred twelve".