149870839116544 has 288 divisors, whose sum is σ = 382552251984000. Its totient is φ = 56995057631232.

The previous prime is 149870839116503. The next prime is 149870839116569. The reversal of 149870839116544 is 445611938078941.

It is a super-2 number, since 2×149870839116544² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154224372 + ... + 155193100.

It is an arithmetic number, because the mean of its divisors is an integer number (1328306430500).

Almost surely, 2^{149870839116544} is an apocalyptic number.

149870839116544 is a gapful number since it is divisible by the number (14) 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 149870839116544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191276125992000).

149870839116544 is an abundant number, since it is smaller than the sum of its proper divisors (232681412867456).

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

149870839116544 is a wasteful number, since it uses less digits than its factorization.

149870839116544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969023 (or 969009 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 70.

The spelling of 149870839116544 in words is "one hundred forty-nine trillion, eight hundred seventy billion, eight hundred thirty-nine million, one hundred sixteen thousand, five hundred forty-four".