145950048078588 has 192 divisors, whose sum is σ = 421893967824000. Its totient is φ = 43323522859008.

The previous prime is 145950048078587. The next prime is 145950048078641. The reversal of 145950048078588 is 885870840059541.

145950048078588 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 500 + 48 + 0 + 78 + 5 + 8 + 8 = 666.

145950048078588 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145950048078587) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48078658 + ... + 51024086.

It is an arithmetic number, because the mean of its divisors is an integer number (2197364415750).

Almost surely, 2^{145950048078588} is an apocalyptic number.

145950048078588 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 145950048078588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210946983912000).

145950048078588 is an abundant number, since it is smaller than the sum of its proper divisors (275943919745412).

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

145950048078588 is a wasteful number, since it uses less digits than its factorization.

145950048078588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946701 (or 2946693 counting only the distinct ones).

The product of its (nonzero) digits is 516096000, while the sum is 72.

The spelling of 145950048078588 in words is "one hundred forty-five trillion, nine hundred fifty billion, forty-eight million, seventy-eight thousand, five hundred eighty-eight".