149535210579456 has 320 divisors, whose sum is σ = 454205396494080. Its totient is φ = 43337231400960.

The previous prime is 149535210579431. The next prime is 149535210579479. The reversal of 149535210579456 is 654975012535941.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64495671 + ... + 66773961.

It is an arithmetic number, because the mean of its divisors is an integer number (1419391864044).

Almost surely, 2^{149535210579456} is an apocalyptic number.

149535210579456 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 149535210579456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227102698247040).

149535210579456 is an abundant number, since it is smaller than the sum of its proper divisors (304670185914624).

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

149535210579456 is a wasteful number, since it uses less digits than its factorization.

149535210579456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278517 (or 2278501 counting only the distinct ones).

The product of its (nonzero) digits is 204120000, while the sum is 66.

The spelling of 149535210579456 in words is "one hundred forty-nine trillion, five hundred thirty-five billion, two hundred ten million, five hundred seventy-nine thousand, four hundred fifty-six".