149783361572416 has 448 divisors, whose sum is σ = 371544367993344. Its totient is φ = 58859716608000.

The previous prime is 149783361572371. The next prime is 149783361572417. The reversal of 149783361572416 is 614275163387941.

It is a happy number.

It is a hoax number, since the sum of its digits (67) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (149783361572417) 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, 30253150741 + ... + 30253155691.

It is an arithmetic number, because the mean of its divisors is an integer number (829340107128).

Almost surely, 2^{149783361572416} is an apocalyptic number.

149783361572416 is a gapful number since it is divisible by the number (16) 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 149783361572416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185772183996672).

149783361572416 is an abundant number, since it is smaller than the sum of its proper divisors (221761006420928).

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

149783361572416 is a wasteful number, since it uses less digits than its factorization.

149783361572416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5918 (or 5908 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 67.

The spelling of 149783361572416 in words is "one hundred forty-nine trillion, seven hundred eighty-three billion, three hundred sixty-one million, five hundred seventy-two thousand, four hundred sixteen".