148084656225408 has 384 divisors, whose sum is σ = 502765511639040. Its totient is φ = 40940905420800.

The previous prime is 148084656225347. The next prime is 148084656225409. The reversal of 148084656225408 is 804522656480841.

148084656225408 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 8 + 4 + 6 + 562 + 25 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (148084656225409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3097527841 + ... + 3097575647.

It is an arithmetic number, because the mean of its divisors is an integer number (1309285186560).

Almost surely, 2^{148084656225408} is an apocalyptic number.

148084656225408 is a gapful number since it is divisible by the number (18) 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 148084656225408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251382755819520).

148084656225408 is an abundant number, since it is smaller than the sum of its proper divisors (354680855413632).

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

148084656225408 is a wasteful number, since it uses less digits than its factorization.

148084656225408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60256 (or 60241 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 63.

The spelling of 148084656225408 in words is "one hundred forty-eight trillion, eighty-four billion, six hundred fifty-six million, two hundred twenty-five thousand, four hundred eight".