149406409746048 has 1024 divisors, whose sum is σ = 521981971660800. Its totient is φ = 36764330803200.

The previous prime is 149406409746047. The next prime is 149406409746073. The reversal of 149406409746048 is 840647904604941.

149406409746048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 149406409746048.

It is not an unprimeable number, because it can be changed into a prime (149406409746043) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18240309633 + ... + 18240317823.

It is an arithmetic number, because the mean of its divisors is an integer number (509748019200).

Almost surely, 2^{149406409746048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149406409746048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260990985830400).

149406409746048 is an abundant number, since it is smaller than the sum of its proper divisors (372575561914752).

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

149406409746048 is a wasteful number, since it uses less digits than its factorization.

149406409746048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8661 (or 8649 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 66.

The spelling of 149406409746048 in words is "one hundred forty-nine trillion, four hundred six billion, four hundred nine million, seven hundred forty-six thousand, forty-eight".