149322214322400 has 288 divisors, whose sum is σ = 555519032006400. Its totient is φ = 34128309841920.

The previous prime is 149322214322389. The next prime is 149322214322417. The reversal of 149322214322400 is 4223412223941.

It is a super-2 number, since 2×149322214322400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235841451 + ... + 236473749.

It is an arithmetic number, because the mean of its divisors is an integer number (1928885527800).

Almost surely, 2^{149322214322400} is an apocalyptic number.

149322214322400 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 149322214322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277759516003200).

149322214322400 is an abundant number, since it is smaller than the sum of its proper divisors (406196817684000).

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

149322214322400 is a wasteful number, since it uses less digits than its factorization.

149322214322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646386 (or 646373 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 149322214322400 in words is "one hundred forty-nine trillion, three hundred twenty-two billion, two hundred fourteen million, three hundred twenty-two thousand, four hundred".