152698805489664 has 728 divisors, whose sum is σ = 536000345123712. Its totient is φ = 42563888087040.

The previous prime is 152698805489647. The next prime is 152698805489669. The reversal of 152698805489664 is 466984508896251.

152698805489664 is a `hidden beast` number, since 1 + 5 + 2 + 6 + 9 + 8 + 8 + 0 + 548 + 9 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (152698805489669) 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 55 ways as a sum of consecutive naturals, for example, 856888317 + ... + 857066499.

Almost surely, 2^{152698805489664} is an apocalyptic number.

152698805489664 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 152698805489664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268000172561856).

152698805489664 is an abundant number, since it is smaller than the sum of its proper divisors (383301539634048).

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

152698805489664 is an frugal number, since it uses more digits than its factorization.

152698805489664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178273 (or 178236 counting only the distinct ones).

The product of its (nonzero) digits is 7166361600, while the sum is 81.

The spelling of 152698805489664 in words is "one hundred fifty-two trillion, six hundred ninety-eight billion, eight hundred five million, four hundred eighty-nine thousand, six hundred sixty-four".