145315580626944 has 288 divisors, whose sum is σ = 516551483972160. Its totient is φ = 38324987854848.

The previous prime is 145315580626921. The next prime is 145315580626967. The reversal of 145315580626944 is 449626085513541.

145315580626944 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 1 + 5 + 580 + 6 + 2 + 6 + 9 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (145315580626921) and next prime (145315580626967).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×145315580626944² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41640682 + ... + 44995305.

It is an arithmetic number, because the mean of its divisors is an integer number (1793581541570).

Almost surely, 2^{145315580626944} is an apocalyptic number.

145315580626944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

145315580626944 is an abundant number, since it is smaller than the sum of its proper divisors (371235903345216).

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

145315580626944 is a wasteful number, since it uses less digits than its factorization.

145315580626944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86636035 (or 86636012 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 145315580626944 in words is "one hundred forty-five trillion, three hundred fifteen billion, five hundred eighty million, six hundred twenty-six thousand, nine hundred forty-four".