145642436379648 has 264 divisors, whose sum is σ = 453091305034368. Its totient is φ = 44792995627008.

The previous prime is 145642436379647. The next prime is 145642436379703. The reversal of 145642436379648 is 846973634246541.

145642436379648 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 4 + 243 + 6 + 379 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (145642436379647) 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 23 ways as a sum of consecutive naturals, for example, 268458361 + ... + 269000327.

It is an arithmetic number, because the mean of its divisors is an integer number (1716254943312).

Almost surely, 2^{145642436379648} is an apocalyptic number.

145642436379648 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 145642436379648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226545652517184).

145642436379648 is an abundant number, since it is smaller than the sum of its proper divisors (307448868654720).

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

145642436379648 is a wasteful number, since it uses less digits than its factorization.

145642436379648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544249 (or 544228 counting only the distinct ones).

The product of its digits is 2508226560, while the sum is 72.

The spelling of 145642436379648 in words is "one hundred forty-five trillion, six hundred forty-two billion, four hundred thirty-six million, three hundred seventy-nine thousand, six hundred forty-eight".