148586153126463 has 48 divisors (see below), whose sum is σ = 236060204155776. Its totient is φ = 89488950174720.

The previous prime is 148586153126431. The next prime is 148586153126491. The reversal of 148586153126463 is 364621351685841.

148586153126463 is a `hidden beast` number, since 1 + 4 + 8 + 5 + 8 + 6 + 153 + 12 + 6 + 463 = 666.

It is a Cunningham number, because it is equal to 12189592²-1.

It is not a de Polignac number, because 148586153126463 - 2⁵ = 148586153126431 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 148586153126463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148586153126263) 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, 157995853 + ... + 158933513.

It is an arithmetic number, because the mean of its divisors is an integer number (4917920919912).

Almost surely, 2^{148586153126463} is an apocalyptic number.

148586153126463 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

148586153126463 is a deficient number, since it is larger than the sum of its proper divisors (87474051029313).

148586153126463 is a wasteful number, since it uses less digits than its factorization.

148586153126463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966544 (or 966541 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 148586153126463 in words is "one hundred forty-eight trillion, five hundred eighty-six billion, one hundred fifty-three million, one hundred twenty-six thousand, four hundred sixty-three".