148106859264 has 1440 divisors, whose sum is σ = 608298324480. Its totient is φ = 34828517376.

The previous prime is 148106859259. The next prime is 148106859269. The reversal of 148106859264 is 462958601841.

148106859264 is a `hidden beast` number, since 1 + 48 + 1 + 0 + 6 + 8 + 592 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (148106859259) and next prime (148106859269).

It is a super-2 number, since 2×148106859264² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 148106859264.

It is not an unprimeable number, because it can be changed into a prime (148106859269) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7795097847 + ... + 7795097865.

It is an arithmetic number, because the mean of its divisors is an integer number (422429392).

Almost surely, 2^148106859264 is an apocalyptic number.

148106859264 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 148106859264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304149162240).

148106859264 is an abundant number, since it is smaller than the sum of its proper divisors (460191465216).

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

148106859264 is an frugal number, since it uses more digits than its factorization.

148106859264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 148106859264 in words is "one hundred forty-eight billion, one hundred six million, eight hundred fifty-nine thousand, two hundred sixty-four".