148605869664 has 288 divisors, whose sum is σ = 507615413760. Its totient is φ = 40318857216.

The previous prime is 148605869663. The next prime is 148605869689. The reversal of 148605869664 is 466968506841.

148605869664 is a `hidden beast` number, since 1 + 48 + 6 + 0 + 586 + 9 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148605869663) 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 47 ways as a sum of consecutive naturals, for example, 6433624 + ... + 6456680.

It is an arithmetic number, because the mean of its divisors is an integer number (1762553520).

Almost surely, 2^148605869664 is an apocalyptic number.

148605869664 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 148605869664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253807706880).

148605869664 is an abundant number, since it is smaller than the sum of its proper divisors (359009544096).

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

148605869664 is a wasteful number, since it uses less digits than its factorization.

148605869664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23242 (or 23231 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 148605869664 in words is "one hundred forty-eight billion, six hundred five million, eight hundred sixty-nine thousand, six hundred sixty-four".