148378211057664 has 1008 divisors, whose sum is σ = 520674610485120. Its totient is φ = 41339395768320.

The previous prime is 148378211057663. The next prime is 148378211057677. The reversal of 148378211057664 is 466750112873841.

148378211057664 is a `hidden beast` number, since 1 + 4 + 8 + 37 + 8 + 21 + 1 + 0 + 576 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (148378211057663) 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, 73128737802 + ... + 73128739830.

Almost surely, 2^{148378211057664} is an apocalyptic number.

148378211057664 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 148378211057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260337305242560).

148378211057664 is an abundant number, since it is smaller than the sum of its proper divisors (372296399427456).

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

148378211057664 is an frugal number, since it uses more digits than its factorization.

148378211057664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 148378211057664 in words is "one hundred forty-eight trillion, three hundred seventy-eight billion, two hundred eleven million, fifty-seven thousand, six hundred sixty-four".