153414941712 has 320 divisors, whose sum is σ = 446476852224. Its totient is φ = 45174620160.

The previous prime is 153414941651. The next prime is 153414941731. The reversal of 153414941712 is 217149414351.

It is a super-2 number, since 2×153414941712² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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, 103588012 + ... + 103589492.

Almost surely, 2^153414941712 is an apocalyptic number.

153414941712 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 153414941712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223238426112).

153414941712 is an abundant number, since it is smaller than the sum of its proper divisors (293061910512).

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

153414941712 is a wasteful number, since it uses less digits than its factorization.

153414941712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1660 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The spelling of 153414941712 in words is "one hundred fifty-three billion, four hundred fourteen million, nine hundred forty-one thousand, seven hundred twelve".